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12101230300032 = 27335851598447
BaseRepresentation
bin1011000000011000100110…
…0010001000101110000000
31120211212101112202011102000
42300012021202020232000
53041231304424100112
641423121202424000
72356166524244406
oct260061142105600
946755345664360
1012101230300032
113946115031595
121435371662000
1369a1ab0721c3
142db9ba1b9476
1515ebaa17d7dc
hexb0189888b80

12101230300032 has 128 divisors (see below), whose sum is σ = 35721600499200. Its totient is φ = 4033047283200.

The previous prime is 12101230300013. The next prime is 12101230300069. The reversal of 12101230300032 is 23000303210121.

12101230300032 is a `hidden beast` number, since 1 + 2 + 101 + 230 + 300 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12101230299978 and 12101230300014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19921833 + ... + 20520279.

It is an arithmetic number, because the mean of its divisors is an integer number (279075003900).

Almost surely, 212101230300032 is an apocalyptic number.

12101230300032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101230300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17860800249600).

12101230300032 is an abundant number, since it is smaller than the sum of its proper divisors (23620370199168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12101230300032 is an equidigital number, since it uses as much as digits as its factorization.

12101230300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604321 (or 604303 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12101230300032 its reverse (23000303210121), we get a palindrome (35101533510153).

The spelling of 12101230300032 in words is "twelve trillion, one hundred one billion, two hundred thirty million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 5851 11702 17553 23404 35106 46808 52659 70212 93616 105318 140424 157977 187232 210636 280848 315954 374464 421272 561696 598447 631908 748928 842544 1123392 1196894 1263816 1685088 1795341 2246784 2393788 2527632 3370176 3590682 4787576 5055264 5386023 6740352 7181364 9575152 10110528 10772046 14362728 16158069 19150304 20221056 21544092 28725456 32316138 38300608 43088184 57450912 64632276 76601216 86176368 114901824 129264552 172352736 229803648 258529104 344705472 517058208 689410944 1034116416 2068232832 3501513397 7003026794 10504540191 14006053588 21009080382 28012107176 31513620573 42018160764 56024214352 63027241146 84036321528 94540861719 112048428704 126054482292 168072643056 189081723438 224096857408 252108964584 336145286112 378163446876 448193714816 504217929168 672290572224 756326893752 1008435858336 1344581144448 1512653787504 2016871716672 3025307575008 4033743433344 6050615150016 12101230300032